If sin A = 8/17,find other trigonometri ratios of Angle A.
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Subject:
Math -
Author:
sylviabass -
Created:
1 year ago
Answers 2
Answer:
cc the attachment or refer
Step-by-step explanation:
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Author:
jude825
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Answer:
cos A =[tex]\frac{15}{17}[/tex]
tan A = [tex]\frac{8}{15}[/tex]
cosec A = [tex]\frac{17}{8}[/tex]
sec A = [tex]\frac{17}{15}[/tex]
cot A = [tex]\frac{15}{8}[/tex]
Step-by-step explanation:
Given sin A = [tex]\frac{8}{17}[/tex]
we know, sin A = [tex]\frac{perpendicular(P)}{hypotenuse(H)}[/tex]
using the Pythagoras theorem,
[tex]hypotenuse^{2} =base^{2} +perpendicular^{2}[/tex]
[tex]17^{2} =8^{2} +base^{2}[/tex]
[tex]base^{2} =17^{2} -8^{2} \\base^2= 289-64\\base^2=225[/tex]
we have,
base (B) = 15
Now, cos A = [tex]\frac{B}{H}[/tex] = [tex]\frac{15}{17}[/tex]
tan A = [tex]\frac{P}{B}[/tex] = [tex]\frac{8}{15}[/tex]
sec A = [tex]\frac{1}{cos A}[/tex] = [tex]\frac{17}{15}[/tex]
cosec A = [tex]\frac{1}{sin A}[/tex] = [tex]\frac{17}{8}[/tex]
cot A = [tex]\frac{1}{tan A}[/tex] = [tex]\frac{15}{8}[/tex]
learn more about trigonometric identities.
Q 1 What are Trigonometric identities?
https://brainly.in/question/11812006
Q 2 Formulas for Trigonometric identities.
https://brainly.in/question/225630
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pudge85
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Answer:
Given B is a point which lies on the line AC
∴ From Euclid's postulate,
AB+BC=AC
⇒AC−AB=BC
Hence, proved.
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Author:
king1
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15
Step-by-step explanation:
In the figure given above, AC coincides with AB+BC
From Euclid's Axiom 4 : Things which coincides with one another are equal to the one another.
So,we can write AB+BC=AC
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Author:
angelblack
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10